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Physics for Scientists and Engineers, Vol. 1
6th Edition
ISBN: 9781429201322
Author: Paul A. Tipler, Gene Mosca
Publisher: Macmillan Higher Education
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Question
Chapter 35, Problem 17P
(a)
To determine
To Calculate: Center to center distance of approach
(b)
To determine
To Calculate: The relative transmission coefficient when kinetic energies is
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(a) The lifetime of a highly unstable nucleus is 10-12 s. What is the smallest uncertainty (in ev) in its decay energy?
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(b) What is the ratio of this energy, AE, to the rest energy of an electron, Erest?
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a) What are the cherenkov angles for electrons and pions of 1000 MeV/c in a medium with n =1.4? b) What is the quotient of the number of photons radiated by electrons and incident pions?
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Chapter 35 Solutions
Physics for Scientists and Engineers, Vol. 1
Ch. 35 - Prob. 1PCh. 35 - Prob. 2PCh. 35 - Prob. 3PCh. 35 - Prob. 4PCh. 35 - Prob. 5PCh. 35 - Prob. 6PCh. 35 - Prob. 7PCh. 35 - Prob. 8PCh. 35 - Prob. 9PCh. 35 - Prob. 10P
Ch. 35 - Prob. 11PCh. 35 - Prob. 12PCh. 35 - Prob. 13PCh. 35 - Prob. 14PCh. 35 - Prob. 15PCh. 35 - Prob. 16PCh. 35 - Prob. 17PCh. 35 - Prob. 18PCh. 35 - Prob. 19PCh. 35 - Prob. 20PCh. 35 - Prob. 21PCh. 35 - Prob. 22PCh. 35 - Prob. 23PCh. 35 - Prob. 24PCh. 35 - Prob. 25PCh. 35 - Prob. 26PCh. 35 - Prob. 27PCh. 35 - Prob. 28PCh. 35 - Prob. 29PCh. 35 - Prob. 30PCh. 35 - Prob. 31PCh. 35 - Prob. 32PCh. 35 - Prob. 33PCh. 35 - Prob. 34PCh. 35 - Prob. 35PCh. 35 - Prob. 36PCh. 35 - Prob. 37PCh. 35 - Prob. 38P
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- Check Your Understanding A proton with kinetic energy 1.00 eV is incident on a square potential barrier with height 10.00 eV. If the proton is to have the same transmission probability as an electron of the same energy, what must the width of the barrier be relative to the barrier width encountered by an electron?arrow_forwardSuppose an electron confined to a emits photons. The longest wavelength that is registered is 500.0 nm. What is the width of the box?arrow_forwardRudolf Mössbauer discovered in 1957 that transitions from an excited nuclear state occur with negligible nuclear recoil when the nucleus is embedded in a large crystal lattice because the entire lattice absorbs the recoil. A transition like that in 191Ir from the 129- keV excited state to the ground state has a lifetime of 1.9 x 10-10 s. (a) Determine the energy width of the decay. (b) Similarly, if the photon is absorbed by 191Ir embedded in a crystal, the recoil is negligible. However, even a slight motion of the absorber will lead to a Doppler shift suffi cient to destroy the resonance absorption. Calculate the speed necessary to shift the energy absorption by 5Γ, where Γ is the nuclear decay width. This effect is called the Mössbauer effectarrow_forward
- A π0 meson is an unstable particle produced in high-energy particle collisions. Its rest energy is approximately 135 MeV, and it exists for a lifetime of only 8.70 × 10-17 s before decaying into two gamma rays. Using the uncertainty principle, estimate the fractional uncertainty Δm/m in its mass determination.arrow_forwardIn Davisson and Germer experiment, it was noted that the energy of an electron increases while entering a crystal, reducing its de-Broglie wavelength. Consider a 54 eV electron beam that is aimed at a nickel target. An electron that reaches the target increases its potential energy by 26 eV. What will be the speed and de-Broglic wavelength of clectron inside the nickel target? (b)arrow_forwardCalculate the de Broglie wavelength of a 5.5-MeV a particle emitted from an 241Am nucleus. Could this particle exist inside the 241Am nucleus (diameter ≈ 1.6 x 10-14 m)? Explain.arrow_forward
- In an experiment done by scattering 5.5-MeV ∝ particles from a thin gold foil, students fi nd that 10,000∝ particles are scattered at an angle greater than 50°. (a) How many of these particles will be scattered greater than 90°? (b) How many will be scattered between 70° and 80°?arrow_forwardWhy the de-Broglie wave associated with a thrown tennis ball is not observable?Explain with approximate calculations (b). Suppose that a neutron beam is used in adiffraction experiment on crystalline solid with the lattice plane separationapproximately 0.1 nm. Estimate the non-relativistic kinetic energy of neutrons (in eV)arrow_forward(a) The lifetime of a highly unstable nucleus is 10−20 s . What is the smallest uncertainty in its decay energy? (b) Compare this with the rest energy of an electron.arrow_forward
- What is the radius for an electron having total energy of -3eV in the third energy level?arrow_forwardA beam of 8.0-MeV - particles scatters from a thin gold foil. What is the ratio of the number of ∝ particles scattered to angles greater than 1° to the number scattered to angles greater than 2°?arrow_forward(a) The mass of a neutron, mn = 10^-27 kg is trapped inside a nucleus of a cubicalbox of size 10-14 m with impenetrable walls. Calculate the energy of neutronin Mev. (b) A hydrogen atom is 0.53 Å in radius. Use the uncertainty principle to estimatethe minimum energy an electron can have in this atom. Also find theuncertainty in the velocity of an α particle when it is located within 5 × 10^-8cm.arrow_forward
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